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【Springer教科書】分子和固體中的磁相互作用
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Magnetic Interactions in Molecules and Solids 分子和固體中的磁相互作用 Authors: Coen de Graaf, Ria Broer 這是一本碩士研究生的教科書。在一定難度水平上介紹了磁相互作用的基礎(chǔ)理論。每章都附有習題。大量理論化學的推導(dǎo)使得全書理論性極強,讀懂并不容易。 該書是圖書系列 Theoretical Chemistry and Computational Modelling(理論化學與計算模擬)的第2卷 ---------------- 目錄 Basic Concepts ……………………………………………………… Pages 1-32 One Magnetic Center ……………………………………………… Pages 33-57 Two (or More) Magnetic Centers ……………………………… Pages 59-103 From Orbital Models to Accurate Predictions ……………… Pages 105-139 Towards a Quantitative Understanding …………………… Pages 141-175 ---------------- Book Title: Magnetic Interactions in Molecules and Solids Authors: Coen de Graaf, Ria Broer Series Title: Theoretical Chemistry and Computational Modelling Copyright: 2015 Publisher: Springer International Publishing Copyright Holder: Springer International Publishing Switzerland eBook ISBN: 978-3-319-22951-5 DOI: 10.1007/978-3-319-22951-5 Hardcover ISBN: 978-3-319-22950-8 Series ISSN: 2214-4714 Edition Number: 1 http://www.springer.com/us/book/9783319229508 . 9783319229508.jpg [ Last edited by morningbear on 2016-1-18 at 01:21 ] . . . . 文件用Adobe Reader X 或以上版本 是可以正常打開 無密碼的 . . 目錄 1 Basic Concepts . 1 1.1 Slater Determinants and Slater–Condon Rules 1 1.2 Generation of Many Electron Spin Functions . 5 1.2.1 Many Electron Spin Functions by Projection 9 1.2.2 Spin Functions by Diagonalization . 10 1.2.3 Genealogical Approach . 12 1.2.4 Final Remarks . 20 1.3 Perturbation Theory 21 1.3.1 Rayleigh–Schrödinger Perturbation Theory . 21 1.3.2 Møller–Plesset Perturbation Theory 25 1.3.3 Quasi-Degenerate Perturbation Theory 27 1.4 Effective Hamiltonian Theory . 28 Problems . 31 References 32 2 One Magnetic Center 33 2.1 Atomic Magnetic Moments . 33 2.2 The Eigenstates of Many-Electron Atoms . 34 2.3 Further Removal of the Degeneracy of the N-electron States 39 2.3.1 Zero Field Splitting . 39 2.3.2 Splitting in an External Magnetic Field 43 2.3.3 Combining ZFS and the External Magnetic Field . 52 Problems . 54 References 57 3 Two (or More) Magnetic Centers . 59 3.1 Localized Versus Delocalized Description of the Two-Electron/Two-Orbital Problem . 59 3.2 Model Spin Hamiltonians for Isotropic Interactions 68 3.2.1 Heisenberg Hamiltonian 69 3.2.2 Ising Hamiltonian 74 3.2.3 Comparing the Heisenberg and Ising Hamiltonians 76 3.3 From Micro to Macro: The Bottom-Up Approach . 77 3.3.1 Monte Carlo Simulations, Renormalization Group Theory . 81 3.4 Complex Interactions . 87 3.4.1 Biquadratic Exchange 88 3.4.2 Four-Center Interactions 90 3.4.3 Anisotropic Exchange 95 Problems . 101 References 102 4 From Orbital Models to Accurate Predictions 105 4.1 Qualitative Valence-Only Models . 105 4.1.1 The Kahn–Briat Model . 105 4.1.2 The Hay–Thibeault–Hoffmann Model . 108 4.1.3 McConnell’s Model . 110 4.2 Magnetostructural Correlations . 113 4.3 Accurate Computational Models 120 4.3.1 The Reference Wave Function and Excited Determinants 121 4.3.2 Difference Dedicated Configuration Interaction 123 4.3.3 Multireference Perturbation Theory 127 4.3.4 Spin Unrestricted Methods 131 4.3.5 Alternatives to the Broken Symmetry Approach 136 Problems . 138 References 139 5 Towards a Quantitative Understanding . 141 5.1 Decomposition of the Magnetic Coupling . 141 5.1.1 Valence Mechanisms 142 5.1.2 Beyond the Valence Space 148 5.1.3 Decomposition with MRPT2 . 151 5.2 Mapping Back on a Valence-Only Model . 152 5.3 Analysis with Single Determinant Methods 157 5.4 Analysis of Complex Interactions . 159 5.4.1 Decomposition of the Biquadratic Exchange 159 5.4.2 Decomposition of the Four-Center Interactions 166 5.4.3 Complex Interactions with Single Determinant Approaches 168 Problems . 174 References 175[ Last edited by morningbear on 2016-1-29 at 02:41 ] |
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